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A regular six-sided die is tossed twice. On a piece of paper, write out all the possible outcomes.

A regular six-sided die is tossed twice. On a piece of paper, write out all the possible outcomes.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A regular six-sided die is tossed twice. On a piece of paper, write out all the possible outcomes. Complete the following table, where the random variable \( x \) is the sum of the two numbers that come up on the die. | \( x \) | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |----------|---|---|---|---|---|---|---|---|----|----|----| | \( P(x) \) | | | | | | | | | | | | Questions: 1. Using the above table, what is \( P(4 \leq x \leq 7) \)? 2. What is the expected value \( E(x) \)? 3. What is the variance \( V(x) \)? 4. What is the standard deviation \( \sigma \)?
Transcribed Image Text:A regular six-sided die is tossed twice. On a piece of paper, write out all the possible outcomes. Complete the following table, where the random variable \( x \) is the sum of the two numbers that come up on the die. | \( x \) | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |----------|---|---|---|---|---|---|---|---|----|----|----| | \( P(x) \) | | | | | | | | | | | | Questions: 1. Using the above table, what is \( P(4 \leq x \leq 7) \)? 2. What is the expected value \( E(x) \)? 3. What is the variance \( V(x) \)? 4. What is the standard deviation \( \sigma \)?
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